# What are the common factors of 18xy and 32xy?

##### 1 Answer

Dec 8, 2016

The common factors with integer coefficients are:

#+-1, +-2, +-x, +-2x, +-y, +-2y, +-xy, +-2xy#

#### Explanation:

The prime factorisations of

#18 = 2*3^2#

#32 = 2^5#

Hence their common positive integer factors are:

#1, 2#

If you include negative integer factors then they have common factors:

#+-1, +-2#

Both

#1, x, y, xy#

Putting all of the possible combinations together, all of their polynomial factors with integer coefficients are:

#+-1, +-2, +-x, +-2x, +-y, +-2y, +-xy, +-2xy#

The greatest common factor of